Elliptic curve groups and chip-firing games

Research output: Contribution to conferencePaper

Abstract

The author illustrates several results from the theory of elliptic curves, as well as the theory of chip-firing games on graphs. More specifically, in both of these cases, we obtain analogues of cyclotomic polynomials with several combinatorial and number theoretic properties. We also provide an analysis of zeta functions which highlights the connections between these two disparate fields.

Original languageEnglish (US)
StatePublished - Dec 1 2007
Event19th International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC'07 - Tianjin, China
Duration: Jul 2 2007Jul 6 2007

Other

Other19th International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC'07
CountryChina
CityTianjin
Period7/2/077/6/07

Keywords

  • Chip-firing games
  • Cyclic languages
  • Elliptic curves
  • Finite fields
  • Spanning trees
  • Zeta functions

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  • Cite this

    Musiker, G. (2007). Elliptic curve groups and chip-firing games. Paper presented at 19th International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC'07, Tianjin, China.